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Students in MS Tanner's class were asked how many hours do they spend playing video games each week.This dot plot shows the results. Video Games (h) What is the median number of hours that students in Ms Tanner's class play video games each week?

Question

Students in MS Tanner's class were asked how many hours do they spend playing video games each week.This dot plot shows the results. Video Games (h) What is the median number of hours that students in Ms Tanner's class play video games each week?

Students in MS Tanner's class were asked how many hours do they spend playing
video games each week.This dot plot shows the results.
Video Games (h)
What is the median number of hours that students in Ms Tanner's class play video
games each week?

Solution

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Answer

[Median = 7 Hours]<br />For this hypothetical dot plot, the median number of playing hours of video games by students in Ms Tanner’s class each week is 7 Hours.<br />Note: The actual answer might be slightly or significantly different depend on the actual data in the dot plot.

Explain

## Step 1:<br />First, let's understand the term **median** assuming that the values are in ascending order. The concept of median involves identifying the middle number among the values organized in ascending order. <br /><br />## Step 2:<br />Usually, in order to find the **median**, following steps are followed:<br /><br /> 1. Organise the numbers in ascending order – from the smallest to the largest.<br /> 2. If the count of the numbers is even, take the average of the two middle numbers.<br /> 3. If the count of the numbers is odd, the median will be the middle number of the arranged sequence.<br /><br />## Step 3:<br />When we turn to the problem, the question is about the median number of hours played by students in Ms Tanner's class based on the dot plot (no dot plot is supply here, therefore imaginary data will be considered). Since a dot plot is not given in this task, let's assume the following hypothetical results:<br /><br /> Students -> 1 2 3 4 5 6 7 8<br /> Hours spent on video games -> 2 5 6 7 7 8 8 9<br /> <br />While predicting the result, we have considered an even number of students for clearer understanding of both scenarios; while even, take the average of the 2 center numbers for median, and while odd, median is the middle number itself.<br /><br />## Step 4:<br /> In this data, since we have even number of students (8), the median will be the average of the 4th and 5th items.<br /><br />## Step 5.<br /> ### **Median= \( \frac { 4^{th} number + 5^{th} number } { 2 } \)**<br /><br />Applying this formula, to find, median number of hours played.<br /> <br />### \(Median = \frac { 7 + 7 } { 2 } \)
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